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Simplifying 0.75(24 + -6b) = 10b + 2 (24 * 0.75 + -6b * 0.75) = 10b + 2 (18 + -4.5b) = 10b + 2 Reorder the terms: 18 + -4.5b = 2 + 10b Solving 18 + -4.5b = 2 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 18 + -4.5b + -10b = 2 + 10b + -10b Combine like terms: -4.5b + -10b = -14.5b 18 + -14.5b = 2 + 10b + -10b Combine like terms: 10b + -10b = 0 18 + -14.5b = 2 + 0 18 + -14.5b = 2 Add '-18' to each side of the equation. 18 + -18 + -14.5b = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -14.5b = 2 + -18 -14.5b = 2 + -18 Combine like terms: 2 + -18 = -16 -14.5b = -16 Divide each side by '-14.5'. b = 1.103448276 Simplifying b = 1.103448276
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